Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible. The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text.
Basic Abstract Algebra for Graduate Students and Advanced Undergraduates Free Download
July 21, 2022
You may also like
ALGEBRA MATHEMATICS
Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
April 11, 2024
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
ALGEBRA MATHEMATICS
Algebra for College Students 5th Edition by Margaret L. Lial PDF
February 3, 2024
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
ALGEBRA MATHEMATICS
Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry by Pietro Corvaja PDF
October 18, 2023
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment